To solve this problem you must apply the proccedure shown below:
1. You have the following expression given in the problem above:
x²-10xy+24y²
2. When you factor the expression x²-10xy+24y², you obtain the following:
(x-4y)(x-6y)
3. To verify the result you can apply the distributive property and the result must be x²-10xy+24y².
Therefore, the answer is: (x-4y)(x-6y)